Any other recommendations for rigorous DE and PDE books?

Click For Summary
The discussion centers around a study plan that includes working through Rudin's "Real and Complex Analysis," followed by functional analysis, and then delving into differential equations (DEs) and partial differential equations (PDEs). Recommendations for DEs include Arnold's text, noted for its geometric approach, while Evans is suggested for PDEs, recognized as a strong graduate-level resource. Kreyszig's "Advanced Engineering Mathematics" is also mentioned as a valuable resource for both ODE and PDE topics. Overall, Arnold and Evans are highly regarded, with no alternative texts deemed superior in this context.
redrzewski
Messages
115
Reaction score
0
My plan is to work thru Rudin's Real and Complex Analysis, and then functional analysis, and then move on to DEs/PDEs.

Right now its looking like Arnold for DEs, and Evans for PDEs.

Any other recommendations?
thanks
 
Physics news on Phys.org
Kreyszig - Advanced Engineering Mathematics 9ed , plenty of ODE and PDE stuff in there for you.
 
Redrzewki that sounds like the ideal combo. Arnold is very geometric, but it is a beauty. And Evans is considered a very good grad PDE book.
 
You cannot go wrong with Arnold and Evans. I don't know any better books.
 

Thread 'What is the best conceptual high school physics book?'

i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...
View full post »

Similar threads

Other Peter Olver Vs Strauss for an introduction to PDEs
  • · Replies 4 ·
Replies
4
Views
1K
Applied Bibliography on integration and ODE/PDE solving techniques for physics
  • · Replies 12 ·
Replies
12
Views
2K
Classical Waves: Books on Math & Physics for Real Analysis, Complex Analysis, etc.
  • · Replies 14 ·
Replies
14
Views
5K
Book on how to define ideas rigorously
  • · Replies 6 ·
Replies
6
Views
2K
Real Analysis Textbook Recommendation
  • · Replies 2 ·
Replies
2
Views
3K
Books to read before Arnold's Classical Mechanics
  • · Replies 5 ·
Replies
5
Views
3K
Other Complex analysis or calculus?
  • · Replies 15 ·
Replies
15
Views
1K
Analysis Study plan for Functional Analysis - Recommendations and critique
  • · Replies 13 ·
Replies
13
Views
4K
Applied Blennow to follow up Altland?
  • · Replies 8 ·
Replies
8
Views
567
Analysis Real Analysis (Baby Rudin vs Apostol)
  • · Replies 4 ·
Replies
4
Views
4K